# How do you simplify (4x^5)/(16x^3)?

Jul 11, 2015

$\frac{4 {x}^{5}}{16 {x}^{3}} = \frac{4 {x}^{3} \cdot {x}^{2}}{4 {x}^{3} \cdot 4} = {x}^{2} / 4$

with exclusion $x \ne 0$

#### Explanation:

Use ${x}^{a + b} = {x}^{a} \cdot {x}^{b}$

Note that if $x = 0$ then $\frac{4 {x}^{5}}{16 {x}^{3}} = \frac{0}{0}$ has undefined value.

Hence the exclusion.